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GrizzlyChicken
 3 years ago
how do you solve 16^(3/4) without a calculator?
GrizzlyChicken
 3 years ago
how do you solve 16^(3/4) without a calculator?

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009infinity
 3 years ago
Best ResponseYou've already chosen the best response.0split the powers and then do individually

GrizzlyChicken
 3 years ago
Best ResponseYou've already chosen the best response.0what do you mean by split the powers?

GrizzlyChicken
 3 years ago
Best ResponseYou've already chosen the best response.0no, im lost where 3 is multiplyed by 6 and then the ^1/4 part

009infinity
 3 years ago
Best ResponseYou've already chosen the best response.0ok i explain in steps

theEric
 3 years ago
Best ResponseYou've already chosen the best response.1(3) means \[\frac{1}{16^3}\] and (1/4) means \[\sqrt[4]{16}\] right? So, since you're doing both to the 16... it can be written as \[\frac{1}{\sqrt[4]{16^3}}\] or \[\frac{1}{\sqrt[4]{16}^3}\]

GrizzlyChicken
 3 years ago
Best ResponseYou've already chosen the best response.0that makes sense so far

theEric
 3 years ago
Best ResponseYou've already chosen the best response.1Now, one looks much more easy to solve than the other, even though they are the same thing.

009infinity
 3 years ago
Best ResponseYou've already chosen the best response.0the power is 3/4 base is 16 now 16^3 . 16^1/4=1/(16)^3.\[\sqrt[4]{16}\]

GrizzlyChicken
 3 years ago
Best ResponseYou've already chosen the best response.0how does \[\sqrt[4]{16^3}\] turn into 8?

GrizzlyChicken
 3 years ago
Best ResponseYou've already chosen the best response.0i know the answer is 1/8

GrizzlyChicken
 3 years ago
Best ResponseYou've already chosen the best response.0\[\sqrt[4]{4096}\]

theEric
 3 years ago
Best ResponseYou've already chosen the best response.1I would look at it the other way  just to avoid that huge number \[16^3\].

theEric
 3 years ago
Best ResponseYou've already chosen the best response.1\[\frac{1}{\sqrt[4]{16}^3}\]

theEric
 3 years ago
Best ResponseYou've already chosen the best response.1So it's like \[\frac{1}{(\sqrt[4]{16})^3}\]

theEric
 3 years ago
Best ResponseYou've already chosen the best response.1And what is \[\sqrt[4]{16}\]?

GrizzlyChicken
 3 years ago
Best ResponseYou've already chosen the best response.0sorry, i was afk for a while

theEric
 3 years ago
Best ResponseYou've already chosen the best response.1Understood! Thank you! And you're welcome!
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